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Finding the Fourth Proportional to 16,537, 24,805.50 and 4,225

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Solution

The fourth proportional to 16,537, 24,805.50 and 4,225 is: 6,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537 : 24,805.50 = 4,225 : x
  2. Step 2: Convert to fraction form
    16,537/24,805.50 = 4,225/x
  3. Step 3: Cross multiply
    16,537x = 24,805.50 × 4,225
  4. Step 4: Simplify right side
    16,537x = 104,803,237.50
  5. Step 5: Solve for x
    x = 104,803,237.50/16,537
  6. Step 6: Final answer
    x = 6,337.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.